Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
پژوهشهای ریاضی, 2020 Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
doaj
Regularized trace formula for higher order differential operators with unbounded coefficients
Electronic Journal of Differential Equations, 2016 In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient.
Erdogan Sen +2 more
doaj
Journal of Function Spaces, 2018 In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-type inequalities for the commutators acting on the solutions of Dirac-harmonic ...
Jinling Niu, Yuming Xing
doaj +1 more source
Raising and Lowering operators of spin-weighted spheroidal harmonics
, 2016 In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in-$\gamma$ spin-weighted spheroidal harmonics where $\gamma$ is an additional parameter present in the second order ordinary differential ...
Shah, Abhay G., Whiting, Bernard F.
core +2 more sources
Some properties on degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2022 The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim +3 more
doaj +1 more source
Higher-Spin Currents, Operator Mixing and UV Asymptotics in Large-N QCD-like Theories
Universe, 2023 We extend to operator mixing—specifically, to higher-spin twist-2 operators—the asymptotic theorem on the ultraviolet asymptotics of the spectral representation of 2-point correlators of multiplicatively renormalizable operators in large-N confining QCD ...
Marco Bochicchio
doaj +1 more source
Carleman inequalities and unique continuation for higher-order elliptic differential operators [PDF]
Duke Mathematical Journal, 1994 In this thesis, we study the weak unique continuation property for higher order elliptic differential operators with real coefficients via Carleman inequalities. We get several Carleman inequalities with sharp gaps for operators in a reasonable class, which lead eventually to the weak unique continuation property for differential inequalities with ...
openaire +2 more sources
Asymptotics for certain Wiener integrals associated with higher order differential operators [PDF]
Pacific Journal of Mathematics, 1990 The large deviation results of Donsker-Varadhan for operators of the form \(\Delta_ x+V(x)\), where \(\Delta_ x\) is the Laplacian and V(x) is a real-valued potential, are extended here to operators of the form \(\Delta_ x+c(x)A_ y\), where c(x) is a non-negative locally Hölder function and \(A_ y\) is a formally selfadjoint elliptic operator of order ...
Griego, Richard J. +1 more
openaire +3 more sources
Theory of edge states based on the Hermiticity of tight-binding Hamiltonian operators
Physical Review Research, 2020 We develop a theory of edge states based on the Hermiticity of Hamiltonian operators for tight-binding models defined on lattices with boundaries. We describe Hamiltonians using shift operators which serve as differential operators in continuum theories.
Takahiro Fukui
doaj +1 more source
Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]
, 2013 We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core